790106357760 has 240 divisors, whose sum is σ = 2563929148032. Its totient is φ = 207722905600.

The previous prime is 790106357713. The next prime is 790106357767. The reversal of 790106357760 is 67753601097.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×790106357760³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (790106357767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17426320 + ... + 17471600.

Almost surely, 2^790106357760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790106357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281964574016).

790106357760 is an abundant number, since it is smaller than the sum of its proper divisors (1773822790272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

790106357760 is an equidigital number, since it uses as much as digits as its factorization.

790106357760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45388 (or 45362 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 51.

The spelling of 790106357760 in words is "seven hundred ninety billion, one hundred six million, three hundred fifty-seven thousand, seven hundred sixty".